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Finding the Fourth Proportional to 34,146.19, 47,103.83 and 27,779.79

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Solution

The fourth proportional to 34,146.19, 47,103.83 and 27,779.79 is: 38,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146.19 : 47,103.83 = 27,779.79 : x
  2. Step 2: Convert to fraction form
    34,146.19/47,103.83 = 27,779.79/x
  3. Step 3: Cross multiply
    34,146.19x = 47,103.83 × 27,779.79
  4. Step 4: Simplify right side
    34,146.19x = 1,308,534,647.51
  5. Step 5: Solve for x
    x = 1,308,534,647.51/34,146.19
  6. Step 6: Final answer
    x = 38,321.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.